On some properties of systems of Volterra integral equations of the fourth kind with kernel of convolution type

被引：0
|
作者：
V. F. Chistyakov
机构：
[1] Russian Academy of Sciences,Institute of System Dynamics and Control Theory, Siberian Branch
来源：
Mathematical Notes | 2006年 / 80卷
关键词：
Volterra integral equation; convolution-type kernel; left regularizing operator; Fredholm operator; integro-differential operator;
D O I：
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摘要：
We consider the system of integral equations of the form Ax +V x = Ψ, where V is the Volterra operator with kernel of convolution type and A is a constant matrix, det A = 0. We prove an existence theorem and establish necessary and sufficient conditions for the kernel of the operator of the system to be trivial.
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页码：109 / 113
页数：4
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